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Finding the Fourth Proportional to 13,547.20, 20,320.80 and 11,214.40

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Solution

The fourth proportional to 13,547.20, 20,320.80 and 11,214.40 is: 16,821.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,547.20 : 20,320.80 = 11,214.40 : x
  2. Step 2: Convert to fraction form
    13,547.20/20,320.80 = 11,214.40/x
  3. Step 3: Cross multiply
    13,547.20x = 20,320.80 × 11,214.40
  4. Step 4: Simplify right side
    13,547.20x = 227,885,579.52
  5. Step 5: Solve for x
    x = 227,885,579.52/13,547.20
  6. Step 6: Final answer
    x = 16,821.60

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.